Yes (to the extent that it's reasonably possible). Voting rights give you power, but you have a contractual obligation to use that power in the interest of _all_ your shareholders.

It's the same reason why, at least in theory, VC founders can't structure a deal that devalues everyone else to ~0 and pockets the extra money in a side-channel transaction. They definitely have the power to do so, but if you can prove that better options existed and have the inclination to take that to court then you have a decent shot at recovering damages.

Non-voting shareholders can and will sue, and in the US they will probably win. This pretty much forces companies to please shareholders as much as possible at the expense of everything else.